Geometry · Median · Angle bisector · Isosceles triangle · Triangle inequality
The lengths of the sides of a triangle \(ABC\) are three consecutive natural numbers. The median drawn from \(A\) is perpendicular to the bisector of the angle \(\angle ABC\). Determine the lengths of the sides of the triangle.
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Serbian Regional Competition (Okruzno takmicenje) 2004, high school grade I, category A, problem 1. Organized by the Mathematical Society of Serbia (DMS). Source